Answer:
3/4
Step-by-step explanation:
The slope of the line is
m = (y2-y1)/(x2-x1)
= (-2--5)/(6-2)
= (-2+5)/(6-2)
=3/4
Answer:
the number of miles is 14,722
Step-by-step explanation:
The computation of the number of miles drive last year is shown below:
= Total cost ÷ cost per mile
= $1,560 + $3,740 ÷ $0.36 per mile
= $5,300 ÷ $0.36 per mile
= 14,722 miles
Hence, the number of miles is 14,722
Step-by-step explanation:
1. if the number of pages in the 1st day is 'x', then the 2d day - 'x+10', the 3d day - 'x+20', the 4th day - 'x+30', the 5th day - 'x+40' and the last day - 'x+50' pages;
2. if the sum of all the pages is 300, then it is possible to make up the equation:
x+x+10+x+20+x+30+x+40+x+50=300;
3. x=25, it means:
1st day - 25;
2d day - 35;
3d day - 45;
4th day - 55;
5th day - 65;
6th day - 75 pages.
Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let denote a set of elements. would denote the set of all ordered pairs of elements of .
For example, with , and are both members of . However, because the pairs are ordered.
A relation on is a subset of . For any two elements, if and only if the ordered pair is in .
A relation on set is an equivalence relation if it satisfies the following:
- Reflexivity: for any , the relation needs to ensure that (that is: .)
- Symmetry: for any , if and only if . In other words, either both and are in , or neither is in .
- Transitivity: for any , if and , then . In other words, if and are both in , then also needs to be in .
The relation (on ) in this question is indeed reflexive. , , and (one pair for each element of ) are all elements of .
isn't symmetric. but (the pairs in are all ordered.) In other words, isn't equivalent to under even though .
Neither is transitive. and . However, . In other words, under relation , and does not imply .
Answer:
D) 3/15
Step-by-step explanation:
(-2/5) - (-9/15) = (-6/15) - (-9/15) = (-6/15) + (9/15) = 3/15